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Anomalous enhancement of the Wilson ratio in a quantum spin liquid: The case of Na_4Ir_3O_8

机译:量子自旋液体中威尔逊比的反常增强:Na_4Ir_3O_8的情况

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摘要

We present a theory for the metal-insulator transition (MIT) in the quantum spin liquid candidate material Na_4Ir_3O_8. We consider an extended Hubbard model on the hyperkagome lattice, which incorporates atomic spin-orbit coupling (SOC) and multiorbital interactions of iridium 5d electrons. This model is analyzed using the slave-rotor mean-field theory, and thermodynamic properties across the MIT are studied. The ground state in the insulating side is a U(1) quantum spin liquid with spinon Fermi surfaces that consist of multiple particle-like and hole-like pockets. It is shown that the Wilson ratio in the quantum spin liquid phase is highly enhanced compared to the metallic state. This originates from the fact that the magnetic susceptibility in the quantum spin liquid phase acquires multiple enhancements due to the strong SOC, reduced bandwidth, and on-site spin-orbital exchange, while the heat capacity does not change much across the MIT. This explains the large Wilson ratio of the insulating phase observed in the previous experiment on Na_4Ir_3O_8. Possible connections to other existing and future experiments, in particular on the metallic phase, are discussed.
机译:我们提出了量子自旋液体候选材料Na_4Ir_3O_8中金属-绝缘体跃迁(MIT)的理论。我们考虑了在超kagome晶格上的扩展哈伯德模型,该模型结合了原子自旋轨道耦合(SOC)和铱5d电子的多轨道相互作用。使用从转子平均场理论分析该模型,并研究整个MIT的热力学性质。绝缘侧的基态是U(1)量子自旋液体,其旋涂费米表面由多个颗粒状和孔状口袋组成。结果表明,与金属态相比,量子自旋液相中的威尔逊比大大提高。这源于以下事实:由于强SOC,减小的带宽和现场自旋轨道交换,量子自旋液相中的磁化率获得了多种增强,而整个MIT的热容却没有太大变化。这解释了在Na_4Ir_3O_8的先前实验中观察到的绝缘相的大Wilson比率。讨论了与其他现有和未来实验的可能连接,特别是在金属相上。

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